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arXiv · 1308.4803

Character Sums and Deterministic Polynomial Root Finding in Finite Fields

Jean Bourgain·Sergei Konyagin·Igor Shparlinski
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Abstract

We obtain a new bound of certain double multiplicative character sums. We use this bound together with some other previously obtained results to obtain new algorithms for finding roots of polynomials modulo a prime $p$.

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Jean Bourgain, Sergei Konyagin, Igor Shparlinski. 2013-08-22. Character Sums and Deterministic Polynomial Root Finding in Finite Fields. https://arxiv.org/abs/1308.4803

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